7072773120 has 352 divisors, whose sum is σ = 28730054400. Its totient is φ = 1616412672.

The previous prime is 7072773089. The next prime is 7072773131. The reversal of 7072773120 is 213772707.

7072773120 is a `hidden beast` number, since 70 + 7 + 277 + 312 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964026 + ... + 971334.

Almost surely, 2^7072773120 is an apocalyptic number.

7072773120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7072773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14365027200).

7072773120 is an abundant number, since it is smaller than the sum of its proper divisors (21657281280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7072773120 is a wasteful number, since it uses less digits than its factorization.

7072773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7350 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 7072773120 is about 84099.7807369318. The cubic root of 7072773120 is about 1919.5373885457.

The spelling of 7072773120 in words is "seven billion, seventy-two million, seven hundred seventy-three thousand, one hundred twenty".